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Finding the Fourth Proportional to 523,568.40, 785,352.60 and 455,139.60

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Solution

The fourth proportional to 523,568.40, 785,352.60 and 455,139.60 is: 682,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,568.40 : 785,352.60 = 455,139.60 : x
  2. Step 2: Convert to fraction form
    523,568.40/785,352.60 = 455,139.60/x
  3. Step 3: Cross multiply
    523,568.40x = 785,352.60 × 455,139.60
  4. Step 4: Simplify right side
    523,568.40x = 357,445,068,222.96
  5. Step 5: Solve for x
    x = 357,445,068,222.96/523,568.40
  6. Step 6: Final answer
    x = 682,709.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.